location:  Publications → journals
Search results

Search: All articles in the CJM digital archive with keyword polydisk

 Expand all        Collapse all Results 1 - 2 of 2

1. CJM 2011 (vol 64 pp. 1329)

Izuchi, Kei Ji; Nguyen, Quang Dieu; Ohno, Shûichi
 Composition Operators Induced by Analytic Maps to the Polydisk We study properties of composition operators induced by symbols acting from the unit disk to the polydisk. This result will be involved in the investigation of weighted composition operators on the Hardy space on the unit disk and moreover be concerned with composition operators acting from the Bergman space to the Hardy space on the unit disk. Keywords:composition operators, Hardy spaces, polydiskCategories:47B33, 32A35, 30H10

2. CJM 2009 (vol 61 pp. 190)

Lu, Yufeng; Shang, Shuxia
 Bounded Hankel Products on the Bergman Space of the Polydisk We consider the problem of determining for which square integrable functions $f$ and $g$ on the polydisk the densely defined Hankel product $H_{f}H_g^\ast$ is bounded on the Bergman space of the polydisk. Furthermore, we obtain similar results for the mixed Haplitz products $H_{g}T_{\bar{f}}$ and $T_{f}H_{g}^{*}$, where $f$ and $g$ are square integrable on the polydisk and $f$ is analytic. Keywords:Toeplitz operator, Hankel operator, Haplitz products, Bergman space, polydiskCategories:47B35, 47B47